h(x)= 7x /((x-1)(x+5) <0

Do you mean

h(x)= 7x/[(x-1)(x+5)] < 0 ?

You left out a bracket or parenth.
What is the question? Do you want the regions of x that satisfy the inequality?

x>1 is not one of them
0 <x <1 is one of them.
x < -5 works also.